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130103202033 = 32713743934337
BaseRepresentation
bin111100100101011000…
…0010101000011110001
3110102211010010110012100
41321022300111003301
54112422404431113
6135434003051013
712254035653630
oct1711260250361
9412733113170
10130103202033
11501a3958372
122126b370a69
13c36539991c
146423091517
1535b6e4bd73
hex1e4ac150f1

130103202033 has 48 divisors (see below), whose sum is σ = 216840349440. Its totient is φ = 73631766528.

The previous prime is 130103202029. The next prime is 130103202067. The reversal of 130103202033 is 330202301031.

130103202033 is a `hidden beast` number, since 130 + 10 + 320 + 203 + 3 = 666.

It is not a de Polignac number, because 130103202033 - 22 = 130103202029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130103201997 and 130103202015.

It is not an unprimeable number, because it can be changed into a prime (130103202133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3771841 + ... + 3806177.

It is an arithmetic number, because the mean of its divisors is an integer number (4517507280).

Almost surely, 2130103202033 is an apocalyptic number.

It is an amenable number.

130103202033 is a deficient number, since it is larger than the sum of its proper divisors (86737147407).

130103202033 is a wasteful number, since it uses less digits than its factorization.

130103202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34926 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130103202033 its reverse (330202301031), we get a palindrome (460305503064).

The spelling of 130103202033 in words is "one hundred thirty billion, one hundred three million, two hundred two thousand, thirty-three".

Divisors: 1 3 7 9 21 63 137 411 439 959 1233 1317 2877 3073 3951 8631 9219 27657 34337 60143 103011 180429 240359 309033 421001 541287 721077 1263003 2163231 3789009 4704169 14112507 15073943 32929183 42337521 45221829 98787549 105517601 135665487 296362647 316552803 949658409 2065130191 6195390573 14455911337 18586171719 43367734011 130103202033